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N$^3$LO soft-gluon corrections in single-particle-inclusive kinematics and $H^+ H^-$ production

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arxiv 2404.00089 v2 pith:4V4WZ5AF submitted 2024-03-29 hep-ph

classification hep-ph
keywords correctionssoft-gluonkinematicsproductionsingle-particle-inclusivecalculatecolorlesscomplete
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the complete soft-gluon corrections for the production of colorless final states through N$^3$LO in single-particle-inclusive kinematics. We present explicit analytical results and use them to study higher-order QCD corrections for the production of a heavy charged Higgs pair ($H^+ H^-$) via quark-antiquark annihilation in the Two-Higgs-Doublet Model at LHC energies. We calculate the NNLO soft-gluon and virtual QCD corrections as well as the N$^3$LO soft-gluon corrections to the total cross section and the charged-Higgs rapidity distribution. This is the first calculation of complete N$^3$LO soft-gluon corrections for a process in single-particle-inclusive kinematics, and the results can be applied to other processes with colorless final states.

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Cited by 1 Pith paper

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  1. N$^3$LO soft-gluon corrections for $Z\gamma$ production

    hep-ph 2026-08 conditional novelty 4.0 of 10

    The authors derive N3LO soft-gluon corrections for Z gamma production and present approximate N3LO LHC predictions for photon pT and rapidity distributions.

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